# Publisher, Zhijie Xu,zhijie.xu@pnl.gov,zhijiexu@hotmail.com,,,,,,,
# Updated, 04/2022,,,,,,,,,
#Name,"Fifth order velocity correlation functions R(5,1) (normalized by one-dimensional velocity dispersion u^5)",,,,,,,,,
#Ref. [1] ,https://doi.org/10.48550/arXiv.2202.00910,,,,,Correlation functions 2nd ,,,,
#Ref. [2] ,https://doi.org/10.48550/arXiv.2202.06515,,,,,Density and velocity distributions,,,,
#Ref. [3] Eq. (45) Fig. 2,https://doi.org/10.48550/arXiv.2202.02991,,,,,Correlation functions 3nd ,,,,
#Velocity dispersion (km/s) u(z),86.47,118.5,148.61,177.15,199.76,231.29,277.67,303.37,335.42,354.61
,,,,,,,,,,
r(Mpc/h),z=10,z=5,z=3,z=2,z=1.5,z=1.0,z=0.5,z=0.3,z=0.1,z=0.0
0.001,NaN,NaN,NaN,-1.128252634,NaN,-0.927165901,NaN,-108.4765024,NaN,-4.079903054
0.002,NaN,NaN,NaN,-6.877480531,NaN,24.22590449,NaN,-2.479432004,NaN,-9.277184929
0.003,NaN,NaN,NaN,75.38430617,NaN,-110.6431069,NaN,17.9523705,NaN,1.516364874
0.004,NaN,NaN,NaN,7.358833952,NaN,-46.6552045,NaN,0.137038905,NaN,1.973397325
0.005,NaN,NaN,NaN,7.59940208,NaN,5.856871356,NaN,-0.625264402,NaN,-2.189997625
0.006,NaN,NaN,NaN,5.484999428,NaN,1.930436574,NaN,3.101465399,NaN,-6.687073785
0.007,NaN,NaN,NaN,4.296899377,NaN,-18.5418817,NaN,5.812618452,NaN,-5.309237298
0.008,NaN,NaN,NaN,3.574892458,NaN,0.767292643,NaN,5.519515141,NaN,-0.50731895
0.009,NaN,NaN,NaN,-14.65503112,NaN,-12.28592226,NaN,-0.569145872,NaN,-1.664851519
0.01,NaN,NaN,NaN,-15.80224682,NaN,14.87978682,NaN,-3.0432814,NaN,3.046488768
0.011,NaN,NaN,NaN,7.30403399,NaN,4.017775451,NaN,0.086584459,NaN,0.672564186
0.012,NaN,NaN,NaN,-6.896308099,NaN,-9.336673183,NaN,1.260734867,NaN,1.392600551
0.013,NaN,NaN,NaN,0.334624423,NaN,0.753065983,NaN,0.390290705,NaN,4.194982629
0.014,NaN,NaN,NaN,-6.262059786,NaN,5.648020385,NaN,-0.730151024,NaN,1.620932147
0.015,NaN,NaN,NaN,52.64363077,NaN,2.796870303,NaN,-1.444828103,NaN,4.596743501
0.016,NaN,NaN,NaN,-33.25628338,NaN,-3.418109922,NaN,-0.841215652,NaN,-6.011902879
0.017,NaN,NaN,NaN,-4.407588005,NaN,1.279653464,NaN,-0.719618721,NaN,-0.992366459
0.018,NaN,NaN,NaN,11.37095241,NaN,4.804101122,NaN,-0.495398424,NaN,0.973727571
0.019,NaN,NaN,NaN,0.278019388,NaN,4.11848474,NaN,-1.116475556,NaN,1.329819951
0.02,NaN,NaN,NaN,-4.584142385,NaN,-2.258974594,NaN,0.418083428,NaN,2.801173942
0.021,NaN,NaN,NaN,4.815107572,NaN,9.506189472,NaN,1.949106839,NaN,1.521410623
0.022,NaN,NaN,NaN,-2.617622518,NaN,-6.889305573,NaN,1.218299894,NaN,2.62461978
0.023,NaN,NaN,NaN,-0.210660257,NaN,1.280727424,NaN,1.308723473,NaN,-2.208537057
0.024,NaN,NaN,NaN,-7.314971704,NaN,4.577889776,NaN,2.606693713,NaN,0.694579794
0.025,NaN,NaN,NaN,17.45460933,NaN,-0.623584165,NaN,0.345924425,NaN,0.202241172
0.026,NaN,NaN,NaN,25.64393095,NaN,-1.767760303,NaN,3.09646022,NaN,-0.511572189
0.027,NaN,NaN,NaN,-5.558091095,NaN,6.370710516,NaN,-1.012384323,NaN,1.384571907
0.028,NaN,NaN,NaN,-23.41956478,NaN,10.08299324,NaN,0.964165384,NaN,1.445721855
0.029,NaN,NaN,NaN,-30.83429979,NaN,3.865406621,NaN,1.467496659,NaN,2.776483128
0.03,NaN,NaN,NaN,-6.880016913,NaN,4.403453735,NaN,-0.281739071,NaN,0.297079295
0.031,NaN,NaN,NaN,-16.22897161,NaN,4.218795702,NaN,1.047132227,NaN,0.734381391
0.032,NaN,NaN,NaN,-0.754608134,NaN,5.431129541,NaN,-0.906008701,NaN,1.168381641
0.033,NaN,NaN,NaN,3.134261825,NaN,-12.95441484,NaN,1.831203381,NaN,-0.503223839
0.034,NaN,NaN,NaN,0.881521619,NaN,2.106075722,NaN,-1.026059509,NaN,-0.951615898
0.035,NaN,NaN,NaN,-15.62719166,NaN,5.052164734,NaN,-0.044817084,NaN,3.000338361
0.036,NaN,NaN,NaN,-1.321374536,NaN,7.225208442,NaN,-0.495569577,NaN,0.413449451
0.037,NaN,NaN,NaN,10.26574129,NaN,-4.613753331,NaN,-0.989194334,NaN,0.97072828
0.038,NaN,NaN,NaN,-6.767814901,NaN,5.486191615,NaN,-1.957913698,NaN,1.067118683
0.039,NaN,NaN,NaN,1.13281216,NaN,-0.879282496,NaN,0.053049062,NaN,-0.331632238
0.04,NaN,NaN,NaN,-1.903205463,NaN,-2.184963323,NaN,1.8543013,NaN,-1.260512318
0.041,NaN,NaN,NaN,16.81172704,NaN,-0.736269325,NaN,-0.811478507,NaN,0.57376478
0.042,NaN,NaN,NaN,-5.300253108,NaN,1.896815421,NaN,1.614362555,NaN,-0.458989227
0.043,NaN,NaN,NaN,6.519259202,NaN,4.040999841,NaN,1.533613674,NaN,0.454572413
0.044,NaN,NaN,NaN,10.28971136,NaN,4.032427711,NaN,0.900251163,NaN,-1.33801897
0.045,NaN,NaN,NaN,-3.806773589,NaN,2.31329683,NaN,1.909645327,NaN,0.206917105
0.046,NaN,NaN,NaN,-4.353916058,NaN,4.60827331,NaN,-0.443430732,NaN,0.573061924
0.047,NaN,NaN,NaN,16.35611547,NaN,4.25113343,NaN,1.609420051,NaN,0.544572222
0.048,NaN,NaN,NaN,6.537316508,NaN,-0.010696887,NaN,0.134842322,NaN,0.658302194
0.049,NaN,NaN,NaN,-0.03560033,NaN,6.141881362,NaN,0.007705474,NaN,1.049950767
0.05,NaN,NaN,NaN,0.225305556,NaN,1.524516778,NaN,1.463662897,NaN,0.658955415
0.051,NaN,NaN,NaN,-4.084605397,NaN,-0.653987559,NaN,2.085687694,NaN,-0.218050373
0.052,NaN,NaN,NaN,0.378425387,NaN,1.414109383,NaN,1.402278521,NaN,2.070819541
0.053,NaN,NaN,NaN,-6.229152779,NaN,1.70066952,NaN,-0.214937997,NaN,0.003652521
0.054,NaN,NaN,NaN,1.568149291,NaN,0.276676395,NaN,-0.58243986,NaN,0.839541771
0.055,NaN,NaN,NaN,11.79489926,NaN,3.478449019,NaN,3.628134145,NaN,-0.272940708
0.056,NaN,NaN,NaN,2.773696539,NaN,-3.098323665,NaN,1.729334991,NaN,0.314207113
0.057,NaN,NaN,NaN,2.399986986,NaN,0.614135544,NaN,1.03367039,NaN,1.886892117
0.058,NaN,NaN,NaN,-0.358165046,NaN,-0.646789325,NaN,0.069482704,NaN,1.24194461
0.059,NaN,NaN,NaN,4.352435414,NaN,-2.473346133,NaN,1.071481419,NaN,-0.406139293
0.06,NaN,NaN,NaN,-0.427599734,NaN,2.28317859,NaN,0.759446907,NaN,0.66460816
0.061,NaN,NaN,NaN,1.673264111,NaN,4.464875152,NaN,1.49778774,NaN,0.17600392
0.062,NaN,NaN,NaN,0.952854293,NaN,3.168903737,NaN,-1.267494957,NaN,1.992659267
0.063,NaN,NaN,NaN,-1.030600907,NaN,-0.069001212,NaN,-0.076671365,NaN,0.22978818
0.064,NaN,NaN,NaN,-4.863811971,NaN,2.956519623,NaN,0.221571111,NaN,-0.854279807
0.065,NaN,NaN,NaN,-1.043945895,NaN,2.820532874,NaN,0.723631392,NaN,1.447632052
0.066,NaN,NaN,NaN,3.773785647,NaN,6.612046745,NaN,0.430118325,NaN,2.020398034
0.067,NaN,NaN,NaN,1.268486044,NaN,6.350449426,NaN,0.288554294,NaN,0.664205029
0.068,NaN,NaN,NaN,-3.200328225,NaN,3.795017395,NaN,1.146018441,NaN,0.605816634
0.069,NaN,NaN,NaN,5.618480463,NaN,0.304863373,NaN,1.855501689,NaN,1.175440059
0.07,NaN,NaN,NaN,5.471509732,NaN,5.152006804,NaN,0.007373898,NaN,0.119005856
0.071,NaN,NaN,NaN,-5.602784504,NaN,2.155210195,NaN,2.452509789,NaN,0.006367406
0.072,NaN,NaN,NaN,1.267113435,NaN,1.010411223,NaN,-0.413995684,NaN,3.204452877
0.073,NaN,NaN,NaN,3.19302791,NaN,1.388034404,NaN,0.390538355,NaN,0.197931505
0.074,NaN,NaN,NaN,4.828317406,NaN,4.533091744,NaN,0.741567145,NaN,1.28967398
0.075,NaN,NaN,NaN,9.062196795,NaN,4.387894383,NaN,0.226866014,NaN,2.765787211
0.076,NaN,NaN,NaN,7.285289621,NaN,3.853675488,NaN,1.375653392,NaN,0.702034768
0.077,NaN,NaN,NaN,10.72420388,NaN,-1.787257712,NaN,0.873867375,NaN,0.518814883
0.078,NaN,NaN,NaN,0.349119015,NaN,3.247565962,NaN,0.15390491,NaN,0.54930461
0.079,NaN,NaN,NaN,-0.06773608,NaN,1.716828331,NaN,1.114877978,NaN,2.026298823
0.08,NaN,NaN,NaN,1.523684418,NaN,4.490097591,NaN,0.756169787,NaN,2.268486897
0.081,NaN,NaN,NaN,-6.94144582,NaN,1.796288311,NaN,1.924628212,NaN,1.534903895
0.082,NaN,NaN,NaN,9.198687655,NaN,-0.262377559,NaN,1.233570898,NaN,1.173777598
0.083,NaN,NaN,NaN,-0.659489667,NaN,-0.873052408,NaN,0.370353055,NaN,1.920263313
0.084,NaN,NaN,NaN,-0.575956868,NaN,1.890610897,NaN,0.243814189,NaN,1.269360721
0.085,NaN,NaN,NaN,-0.592075171,NaN,-1.295059523,NaN,0.554276662,NaN,1.577491672
0.086,NaN,NaN,NaN,-5.940074858,NaN,-0.318525759,NaN,1.735516923,NaN,0.526771912
0.087,NaN,NaN,NaN,-4.968541718,NaN,1.697238366,NaN,1.446777494,NaN,1.327532414
0.088,NaN,NaN,NaN,2.02166457,NaN,2.805469613,NaN,0.046593064,NaN,2.07498867
0.089,NaN,NaN,NaN,3.716559413,NaN,1.485877195,NaN,0.752016949,NaN,0.898400932
0.09,NaN,NaN,NaN,7.55308102,NaN,3.150981454,NaN,-0.345977909,NaN,1.134411375
0.091,NaN,NaN,NaN,1.319668825,NaN,5.843776839,NaN,2.154064098,NaN,1.039374072
0.092,NaN,NaN,NaN,-11.25289278,NaN,0.119971147,NaN,2.440813728,NaN,1.098824599
0.093,NaN,NaN,NaN,3.268057571,NaN,-0.358063404,NaN,1.747241231,NaN,0.877020597
0.094,NaN,NaN,NaN,0.31148002,NaN,2.78975523,NaN,0.718147671,NaN,0.704178106
0.095,NaN,NaN,NaN,-1.733906457,NaN,3.499041534,NaN,1.932319835,NaN,1.801621096
0.096,NaN,NaN,NaN,-6.145612449,NaN,0.378079108,NaN,0.552717106,NaN,1.333136334
0.097,NaN,NaN,NaN,1.584699645,NaN,4.836797854,NaN,2.235401882,NaN,1.54988001
0.098,NaN,NaN,NaN,12.61539644,NaN,3.700417508,NaN,0.63858365,NaN,1.205846391
0.099,NaN,NaN,NaN,1.318002707,NaN,-2.627247409,NaN,0.654669155,NaN,1.46122764
0.1,NaN,NaN,NaN,-1.31689031,NaN,-2.40423242,NaN,0.369977787,NaN,2.389005099
0.101,NaN,NaN,NaN,-2.874999761,NaN,3.467317184,NaN,0.914863971,NaN,1.518493194
0.102,NaN,NaN,NaN,5.733381784,NaN,2.419562002,NaN,1.991293656,NaN,1.241981861
0.103,NaN,NaN,NaN,9.975866362,NaN,1.382748521,NaN,2.26790238,NaN,1.689210143
0.104,NaN,NaN,NaN,-4.517682245,NaN,0.36601669,NaN,0.844684244,NaN,1.912744798
0.105,NaN,NaN,NaN,0.041972327,NaN,-1.457480399,NaN,-0.491984424,NaN,1.109216691
0.106,NaN,NaN,NaN,-2.335080947,NaN,-3.780481156,NaN,-0.358303904,NaN,-0.005522312
0.107,NaN,NaN,NaN,-1.089210785,NaN,0.473358653,NaN,-0.094184422,NaN,0.331894921
0.108,NaN,NaN,NaN,-1.599678715,NaN,0.654831258,NaN,1.143942797,NaN,1.246568506
0.109,NaN,NaN,NaN,-3.394024649,NaN,-0.160755908,NaN,1.429625427,NaN,2.182859462
0.11,NaN,NaN,NaN,4.104664009,NaN,1.25187049,NaN,1.122142535,NaN,1.697487993
0.111,NaN,NaN,NaN,-1.20394481,NaN,-0.782685532,NaN,1.705423912,NaN,2.113359744
0.112,NaN,NaN,NaN,0.901125345,NaN,3.372616085,NaN,-0.140370833,NaN,2.691057904
0.113,NaN,NaN,NaN,-0.190503666,NaN,3.738668313,NaN,1.08716828,NaN,2.471351281
0.114,NaN,NaN,NaN,5.483558364,NaN,1.024684642,NaN,0.551243615,NaN,2.912691228
0.115,NaN,NaN,NaN,11.02805822,NaN,-0.265275769,NaN,0.864059618,NaN,-0.102252975
0.116,NaN,NaN,NaN,1.872670763,NaN,1.702032753,NaN,0.513548751,NaN,1.431069932
0.117,NaN,NaN,NaN,-9.308074366,NaN,-2.410038908,NaN,1.367044253,NaN,1.66461577
0.118,NaN,NaN,NaN,3.639505699,NaN,0.680441444,NaN,1.280040515,NaN,1.281519396
0.119,NaN,NaN,NaN,6.13234212,NaN,0.55007913,NaN,0.938625832,NaN,0.397119404
0.12,NaN,NaN,NaN,4.127550036,NaN,-2.639076556,NaN,0.182623251,NaN,1.012284906
0.121,NaN,NaN,NaN,-2.265251627,NaN,0.512936609,NaN,0.721244115,NaN,2.433692161
0.122,NaN,NaN,NaN,0.671100223,NaN,0.171116798,NaN,-0.180795377,NaN,1.543957061
0.123,NaN,NaN,NaN,-0.317973214,NaN,-1.772913156,NaN,0.637867031,NaN,0.587508073
0.124,NaN,NaN,NaN,0.186894104,NaN,4.647223953,NaN,1.190853842,NaN,0.740094028
0.125,NaN,NaN,NaN,3.399277101,NaN,2.773322689,NaN,1.022357269,NaN,0.283879717
0.126,NaN,NaN,NaN,9.762502286,NaN,-0.519796667,NaN,1.23210304,NaN,1.647588539
0.127,NaN,NaN,NaN,4.891536549,NaN,-3.265791358,NaN,-0.251708784,NaN,2.210676806
0.128,NaN,NaN,NaN,6.749247233,NaN,-1.203657651,NaN,1.726208392,NaN,1.212137565
0.129,NaN,NaN,NaN,3.902691725,NaN,2.444043606,NaN,0.673291018,NaN,2.046551083
0.13,NaN,NaN,NaN,6.122258966,NaN,2.024622638,NaN,0.94202885,NaN,1.589483216
0.131,NaN,NaN,NaN,1.483277097,NaN,1.161794006,NaN,1.640377153,NaN,1.213360095
0.132,NaN,NaN,NaN,5.954839951,NaN,-0.95563082,NaN,-0.788222079,NaN,2.23751762
0.133,NaN,NaN,NaN,11.48361202,NaN,0.356652341,NaN,0.259158861,NaN,0.309052869
0.134,NaN,NaN,NaN,5.180133144,NaN,2.594931608,NaN,0.31549832,NaN,2.176095579
0.135,NaN,NaN,NaN,-0.830209507,NaN,1.847767195,NaN,0.588885088,NaN,0.682141839
0.136,NaN,NaN,NaN,-0.902279735,NaN,-0.356746813,NaN,-0.17253373,NaN,0.679747299
0.137,NaN,NaN,NaN,4.072078003,NaN,1.174169505,NaN,1.699796193,NaN,1.61136892
0.138,NaN,NaN,NaN,2.886762085,NaN,1.264342676,NaN,-0.000878119,NaN,1.05190015
0.139,NaN,NaN,NaN,5.635631816,NaN,-1.423169157,NaN,-1.147202611,NaN,1.870679105
0.14,NaN,NaN,NaN,3.451982179,NaN,3.981679623,NaN,0.444552619,NaN,0.955153674
0.141,NaN,NaN,NaN,7.921265046,NaN,-0.291213024,NaN,1.0511052,NaN,0.169976986
0.142,NaN,NaN,NaN,1.785199901,NaN,2.17417015,NaN,-0.412291691,NaN,1.17998979
0.143,NaN,NaN,NaN,5.983818609,NaN,3.059773951,NaN,1.405924992,NaN,1.476816176
0.144,NaN,NaN,NaN,7.174346245,NaN,0.968378579,NaN,0.491785254,NaN,1.499808696
0.145,NaN,NaN,NaN,-2.236496711,NaN,1.812641821,NaN,0.636993351,NaN,1.414524157
0.146,NaN,NaN,NaN,-7.208176033,NaN,0.793844463,NaN,0.906421954,NaN,2.165274014
0.147,NaN,NaN,NaN,4.703471121,NaN,0.51900727,NaN,0.304481237,NaN,1.615292459
0.148,NaN,NaN,NaN,9.527126261,NaN,0.550464144,NaN,2.094930558,NaN,1.184493004
0.149,NaN,NaN,NaN,8.805256129,NaN,1.394012176,NaN,1.179132047,NaN,0.65558678
0.15,NaN,NaN,NaN,1.306769662,NaN,-1.57682545,NaN,0.062244164,NaN,2.128781187
0.151,NaN,NaN,NaN,4.50744836,NaN,2.160607056,NaN,0.471518367,NaN,1.177003376
0.152,NaN,NaN,NaN,-2.229366121,NaN,1.058603954,NaN,0.760164999,NaN,2.02772921
0.153,NaN,NaN,NaN,4.130783435,NaN,3.705422508,NaN,0.12503674,NaN,0.973299332
0.154,NaN,NaN,NaN,1.967520857,NaN,-0.078204317,NaN,1.308204307,NaN,2.511174938
0.155,NaN,NaN,NaN,7.840433824,NaN,-0.571207298,NaN,0.694620319,NaN,0.58141714
0.156,NaN,NaN,NaN,-1.39457667,NaN,3.128142481,NaN,0.902948474,NaN,1.822229156
0.157,NaN,NaN,NaN,-1.73982639,NaN,0.283170008,NaN,0.649117321,NaN,1.841511595
0.158,NaN,NaN,NaN,-0.902790792,NaN,4.065577782,NaN,-0.327173715,NaN,1.930446761
0.159,NaN,NaN,NaN,-2.877217266,NaN,2.661481057,NaN,0.586306137,NaN,1.165508602
0.16,NaN,NaN,NaN,0.909780301,NaN,1.187565517,NaN,1.207090448,NaN,1.455811295
0.161,NaN,NaN,NaN,-5.345663352,NaN,3.209899911,NaN,0.864956705,NaN,1.303439648
0.162,NaN,NaN,NaN,0.289979517,NaN,0.283636112,NaN,-0.353893566,NaN,0.494304193
0.163,NaN,NaN,NaN,8.839789593,NaN,0.599075774,NaN,-1.003181198,NaN,1.671192386
0.164,NaN,NaN,NaN,1.608591286,NaN,0.98328306,NaN,0.093016565,NaN,0.884058283
0.165,NaN,NaN,NaN,3.840483744,NaN,1.236803001,NaN,0.300786533,NaN,2.560341208
0.166,NaN,NaN,NaN,7.771510391,NaN,0.394882351,NaN,1.347136366,NaN,1.778569953
0.167,NaN,NaN,NaN,-0.589047111,NaN,0.313862234,NaN,2.029898889,NaN,1.868888393
0.168,NaN,NaN,NaN,6.280721428,NaN,-1.257559545,NaN,0.822905421,NaN,1.190975014
0.169,NaN,NaN,NaN,3.888009293,NaN,-1.381895923,NaN,0.32096894,NaN,1.063297512
0.17,NaN,NaN,NaN,-1.442974135,NaN,0.869293834,NaN,1.291929327,NaN,1.122609649
0.171,NaN,NaN,NaN,4.34424225,NaN,1.907820701,NaN,1.112313973,NaN,0.888960601
0.172,NaN,NaN,NaN,-9.359524275,NaN,0.642074498,NaN,0.417412006,NaN,1.408032647
0.173,NaN,NaN,NaN,2.477801484,NaN,0.769689534,NaN,0.745964496,NaN,1.21369207
0.174,NaN,NaN,NaN,2.765451482,NaN,-0.487395556,NaN,0.018777439,NaN,1.92993328
0.175,NaN,NaN,NaN,-6.097615324,NaN,-0.093452669,NaN,0.172285186,NaN,0.324905952
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